1. Today in Calculus Go over homework Average Rate of Change (aka slope)
Tangent Lines
Homework

2. Even Answers 12a) Yes, f(1)=1 b) Yes, c, d, e: No
Everywhere in[-1,3) except x =0,1,2
Reassign f(1)=2 based on the limit
24. 1,2; x=2 removable
26.

3. Average Rate of Change
The average rate of change of a quantity over a period of time is the amount of change divided by the time it takes.
In general: average rate of change of a function over an interval is the amount of change divided by the length of the interval.
Example: Find the average rate of change of f(x)=x3 – x over the interval [2,4]
Example: Find the average rate of change of f(x)=4x2 – 6x over the interval [1,3]

6. Example
If y = 2x2, find the slope of the curve and the equation of the line tangent to the curve at x = 3

7. Example
If , find the slope of the curve and the equation of the line tangent to the curve at x = 2
Find the slope of f(x) at x = 7, x = -3.
At what point is the slope of the tangent line -.25?
At what point is the tangent line horizontal?

8. Homework
Pg 87-88: 1-6, 9-10(a & b only)